Detail publikace

Topogenous orders and closure operators on posets

ŠLAPAL, J. RICHMOND, T. IRAGI, M.

Anglický název

Topogenous orders and closure operators on posets

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

We introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems.

Anglický abstrakt

We introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems.

Klíčová slova anglicky

Poset, meet-complete semilattice, topogenous order, closure operator, cartesian closed category

Vydáno

10.05.2024

Nakladatel

TÜBITAK

Místo

Ankara

ISSN

1303-6149

Ročník

48

Číslo

3

Strany od–do

469–476

Počet stran

8

BIBTEX


@article{BUT188778,
  author="Josef {Šlapal} and Tom {Richmond} and Minani {Iragi},
  title="Topogenous orders and closure operators on posets",
  year="2024",
  volume="48",
  number="3",
  month="May",
  pages="469--476",
  publisher="TÜBITAK",
  address="Ankara",
  issn="1303-6149"
}